9 citations · 9 across the 4 of their papers we have counts for
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Relaxation by nonlinear diffusion enhancement in a two-dimensional cross-diffusion model for urban crime propagation
Nancy Rodriguez, Michael Winkler
We consider a class of macroscopic models for the spatio-temporal evolution of urban crime, as originally going back to Short et al. (Math. Mod. Meth. Appl. Sci. 18, 2008). The foc…
On the global existence and qualitative behavior of one-dimensional solutions to a model for urban crime
Nancy Rodriguez, Michael Winkler
We consider the no-flux initial-boundary value problem for the cross-diffusive evolution system \begin{eqnarray*} \left\{ \begin{array}{ll} u_t = u_{xx} - χ\big(\frac{u}{v} \partia…
Analysis of a model for the dynamics of riots
Henri Berestycki, Nancy Rodriguez
This paper is concerned with modeling the dynamics of social outbursts of activity, such as protests or rioting activity. In this sequel to our work in \cite{Berestycki2014}, writt…
A model of riots dynamics: shocks, diffusion and thresholds
Henri Berestycki, Jean-Pierre Nadal, Nancy Rodriguez
We introduce and analyze several variants of a system of differential equations which model the dynamics of social outbursts, such as riots. The systems involve the coupling of an…